Pith Number

pith:OKZKDQYD

pith:2013:OKZKDQYDW6LP73ZQXPSJERQ3VP

not attested not anchored not stored refs pending

Toward a unified theory of sparse dimensionality reduction in Euclidean space

Jean Bourgain, Jelani Nelson, Sjoerd Dirksen

arxiv:1311.2542 v4 · 2013-11-11 · cs.DS · cs.CG · cs.IT · math.IT · math.PR · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKZKDQYDW6LP73ZQXPSJERQ3VP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:34:46.234986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b2a1c303b796ffef30bbe492461babdb79f0c9eda5524e61c6c7b5c2baba8b

Aliases

arxiv: 1311.2542 · arxiv_version: 1311.2542v4 · doi: 10.48550/arxiv.1311.2542 · pith_short_12: OKZKDQYDW6LP · pith_short_16: OKZKDQYDW6LP73ZQ · pith_short_8: OKZKDQYD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OKZKDQYDW6LP73ZQXPSJERQ3VP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 72b2a1c303b796ffef30bbe492461babdb79f0c9eda5524e61c6c7b5c2baba8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fe63b9c9f7717633fa2dab4da2dc2ed846870d2802065352abbd4c29134a62",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.IT",
      "math.IT",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-11-11T19:30:30Z",
    "title_canon_sha256": "90357ed18e005a80c995d7cf519b893a798bf6d8a4a938dc6071a2d570473187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2542",
    "kind": "arxiv",
    "version": 4
  }
}